Least Common Multiple of 655 and 662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 655 and 662 the smallest integer that is 433610 that is divisible by both numbers.

Least Common Multiple (LCM) of 655 and 662 is 433610.

LCM(655,662) = 433610

LCM of 655 and 662

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 655 and 662

LCM of 655 and 662 is 433610

Least common multiple can be found by multiplying the highest exponent prime factors of 655 and 662. First we will calculate the prime factors of 655 and 662.

Prime Factorization of 655


5 655
131 131
1

Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:

655 = 51×1311

Prime Factorization of 662


2 662
331 331
1

Prime factors of 662 are 2,331. Prime factorization of 662 in exponential form is:

662 = 21×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 655 and 662.

LCM(655,662) = 21×51×1311×3311
LCM(655,662) = 433610

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Least Common Multiple of 655 and 662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 655 and 662, than apply into the LCM equation.

GCF(655,662) = 1
LCM(655,662) = ( 655 × 662) / 1
LCM(655,662) = 433610 / 1
LCM(655,662) = 433610

Properties of LCM 655 and 662

(i) The LCM of 662 and 655 is associative

LCM of 655 and 662 = LCM of 662 and 655

Related Least Common Multiples of 655

Related Least Common Multiples of 662

Frequently Asked Questions on LCM of 655 and 662

1. What is the LCM of 655 and 662?

Answer: LCM of 655 and 662 is 433610.

2. What are the Factors of 655?

Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.

3. What are the Factors of 662?

Answer: Factors of 662 are 1, 2, 331, 662. There are 4 integers that are factors of 662. The greatest factor of 662 is 662.

4. How to Find the LCM of 655 and 662?

Answer:

Least Common Multiple of 655 and 662 = 433610

Step 1: Find the prime factorization of 655

655 = 5 x 131

Step 2: Find the prime factorization of 662

662 = 2 x 331

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 433610 = 2 x 5 x 131 x 331

Step 4: Therefore, the least common multiple of 655 and 662 is 433610.